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Proof step 10 from proof ushort-plus-01 (previous step)

0 ≤ s2i(i2s(i)), i < 32767, us2i(sho) + i < 65536, 0 ≤ i, ¬ 65536 ≤ us2i(sho) + s2i(i2s(i)) → us2i(i2s(s2i(sho) + s2i(i2s(i)))) = us2i(sho) + s2i(i2s(i)) ⊦ us2i(i2s(s2i(sho) + i)) = us2i(sho) + i

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: num-issi rotate: F subst: [i] → [i]

Additional information

Used simplifier rules: ⊦ i < j → ¬ j < i;% ⊦ ¬ i ≤ j ↔ j < i;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ i + j = j + i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: i